Question
upstudy study bank question image url

Below is the graph of .
Translate it to become the graph of .

Ask by Lowe Mathis. in the United States
Nov 22,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Shift the graph of left by 1 unit and then down by 4 units.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To transform the graph of into , we start by shifting the graph left by 1 unit due to the in the exponent. This means every point on the graph will move one unit to the left. Next, the entire graph will then be shifted down by 4 units because of the “-4” at the end. So, the new graph maintains the exponential shape but is repositioned.
Imagine the original curve that rises sharply to the right and gracefully approaches the x-axis to the left. After applying these transformations, the new curve will be shifted left and drop down four units, landing slightly above on the y-axis. It’s still an exponential graph but now has a new home!

Related Questions

Latest Pre Calculus Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy